What is the 3304th prime number?
The 3304th prime number is 30637. The next prime is 30643 (a gap of 6) and the one before is 30631.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3304th one is 30637.
- 2
30637 is prime because no prime up to ā30637 ā 175.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3304th prime is close to 3304 Ć ln(3304) ā 26772, and here it is 30637.
- 4
30637 has no twin: neither 30635 nor 30639 is prime.
Primes around the 3304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3301 | 30577 | 18 |
| 3302 | 30593 | 16 |
| 3303 | 30631 | 38 |
| 3304 | 30637 | 6 |
| 3305 | 30643 | 6 |
| 3306 | 30649 | 6 |
| 3307 | 30661 | 12 |
Questions
What is the 3304th prime number?
30637.
Which prime number is 30637?
30637 is the 3304th prime number.
What is the sum of the first 3304 primes?
47,463,767.